additional data points: the same frame that tells us the video went viral on April 10 tells us it's 20:05 when Yuuri learns this. coincidentally, per TimeAndDate, sunset in Saint-Petersburg on 2016 April 10 was about 20:05, and Saint-Petersburg is six hours behind Japan. so the fact it's dark out when Victor leaves means it's mathematically impossible for it to still be April 10 when Victor arrives.
April 12 seems a likelier arrival date than April 11: the shortest flights I'm finding from Saint-Petersburg to anywhere in Japan are all at least ten and a half hours just counting total flight time, not layovers or getting to or from the airport (and while I'm not looking for direct routes specifically, I'm also not finding any). and it's much easier to find three-plane routes than two-plane routes, and all the three-plane routes have long enough layovers they're more than twenty-four hours from takeoff in Saint-Petersburg to landing in Japan. meanwhile the news tells us it's 4:50 right before Hiroko tells Yuuri to shovel snow, and that must mean afternoon since it's daylight, which means it's been almost fifteen hours since the most recent sunset in Saint-Petersburg. so assuming a two-plane route and observing that the train from Fukuoka to Karatsu usually takes an hour and a half (and it's probably safe enough to assume Hasetsu is located exactly where the RL place it's based on is located), it's possible it's April 11, it's just kind of a tight turnaround, since that's under three hours to cover getting from Yakov to takeoff and getting from landing to takeoff and getting from landing to train and getting from train to onsen.
but also if Victor arrived April 12, that means his departure was kept secret for over a day, instead of the news breaking late morning Saint-Petersburg time on April 11 (which sounds like the very minute someone connected the dots). so.
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April 12 seems a likelier arrival date than April 11: the shortest flights I'm finding from Saint-Petersburg to anywhere in Japan are all at least ten and a half hours just counting total flight time, not layovers or getting to or from the airport (and while I'm not looking for direct routes specifically, I'm also not finding any). and it's much easier to find three-plane routes than two-plane routes, and all the three-plane routes have long enough layovers they're more than twenty-four hours from takeoff in Saint-Petersburg to landing in Japan. meanwhile the news tells us it's 4:50 right before Hiroko tells Yuuri to shovel snow, and that must mean afternoon since it's daylight, which means it's been almost fifteen hours since the most recent sunset in Saint-Petersburg. so assuming a two-plane route and observing that the train from Fukuoka to Karatsu usually takes an hour and a half (and it's probably safe enough to assume Hasetsu is located exactly where the RL place it's based on is located), it's possible it's April 11, it's just kind of a tight turnaround, since that's under three hours to cover getting from Yakov to takeoff and getting from landing to takeoff and getting from landing to train and getting from train to onsen.
but also if Victor arrived April 12, that means his departure was kept secret for over a day, instead of the news breaking late morning Saint-Petersburg time on April 11 (which sounds like the very minute someone connected the dots). so.